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# Rs.432 is divided amongst three workers A, B and C such that

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Director
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Rs.432 is divided amongst three workers A, B and C such that [#permalink]

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06 Nov 2006, 07:05
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Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100
Senior Manager
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06 Nov 2006, 09:33
KARL,i got

a= 243 b= 162 and c=27

as u can see a+b+c= 432
8a = 12b and b=6c

oooops...sorry
i gotit.

choice A

8a=12b=6c

and a+b+c = 432

solving for a=144 b= 96 c= 192

Last edited by AK47 on 06 Nov 2006, 09:36, edited 1 time in total.
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06 Nov 2006, 09:33
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100

A B C = 8 12 6
Whenver ratios are expressed b/w A and B AND B and C. Easiest way is to cross multiply

A B C will be 12*6:8*6:*8*12=72:48:96

A share = 432*72/(72+48+96)=144

Asnwer A
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06 Nov 2006, 17:28
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100

I'm getting B here.. can someone let me know where my logic is wrong?

The ratio is 8:12:6

so we know the grouping is by 26 .. (8+12+6)

Divide 432 by 26 and you get approximately 16.6

multiply this by 8 and I get approximately 133
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06 Nov 2006, 18:01
amorica,
the question says 8A=12B=6c which doesnot mean a:b:c = 8:12:6

A:B:C is derived by cross multiplication i.e 12*6:8*6;8*12=
72:48:96 or 6:4:8

U need to devide in 3:2:4 ratio
Director
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07 Nov 2006, 03:27
amorica wrote:
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100

I'm getting B here.. can someone let me know where my logic is wrong?

The ratio is 8:12:6

so we know the grouping is by 26 .. (8+12+6)

Divide 432 by 26 and you get approximately 16.6

multiply this by 8 and I get approximately 133

I fall in the same trap. For this reason I changed slightly the problem to check if others would have done the same mistake. only one

Here is the original one:
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A get? (1) Rs.192 (2) Rs.133 (3) Rs.144 (4) Rs.128

And OA is (3).
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07 Nov 2006, 11:47
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100

8A = 12B=6C

IE : 4:6:3

432/ 13 = 133 APPROX B is my answer
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07 Nov 2006, 12:29
yezz wrote:
Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A approximately get?

A. Rs. 144
B. Rs. 133
C. Rs. 128
D. Rs. 112
E. Rs. 100

8A = 12B=6C

IE : 4:6:3

432/ 13 = 133 APPROX B is my answer

Yezz, one post above you, you'll find the answer...

And the original PS is without approximate values :

Rs.432 is divided amongst three workers A, B and C such that 8 times Aâ€™s share is equal to 12 times Bâ€™s share which is equal to 6 times Câ€™s share. How much did A get? (1) Rs.192 (2) Rs.133 (3) Rs.144 (4) Rs.128
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